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搜索结果: 1-14 共查到数学 dinger equations相关记录14条 . 查询时间(0.109 秒)
In this paper we compare the classical conservative properties of 痸e dirence schemes applied to the coupled Klein-Gordon-Schr膐dinger equations in the quantum physics, and investigate the numerical ...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlinear Schrodinger equations mainly the compactness of the support and its spatial localization.
In this contribution, we introduce numerical continuation methods and bifurcation theory, techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter de...
We consider the nonlinear magnetic Schr¨odinger equation for u : R3 × R → C,iut = (i∇ + A)2u + V u + g(u), u(x, 0) = u0(x),where A : R3 → R3 is the magnetic potential, V : R3 → R is the electric...
We consider the quadratic and cubic KP - I and NLS models in 1+2 dimensions with periodic boundary conditions. We show that the spatially periodic travelling waves (with period K) in the form u(t, x,...
We consider the energy critical nonlinear Schr\"odinger equation on periodic domains of the form R^m x T^{4-m} with m=0,1,2,3. Assuming that a certain L^4 Strichartz estimate holds for solutions to t...
We consider the Cauchy problem for (energy-subcritical) nonlinear Schr¨odinger equations with sub-quadratic external potentials and an additional angular momentum rotation term. This equation is a wel...
Given a Lipschitz domain in RN and a nonnegative potential V in such that V (x) d(x.
We investigate existence and qualitative behaviour of solutions to nonlinear Schr¨odinger equations with critical exponent and singular electromagnetic potentials. We are concerned with with magnetic ...
In this paper, we consider the global existence and blowup phenomena of the following Cauchy problem−iut = u − V (x)u + f(x, |u|2)u + (W ⋆ |u|2)u, x ∈ RN, t > 0,u(x, 0) = u0(x), x ...
We study the instability of standing waves for nonlinear Schr¨odinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimensi...
Using techniques from probability theory, we show that the thermodynamics of the focusing cubic discrete nonlinear Schrodinger equation (NLS) are exactly solvable in dimensions three and higher.A num...
In this paper we investigate the existence of nontrivial standing wave solution of the discrete nonlinear Schr¨odinger equation with the growing potential at infinity. Firstly we derive a discrete v...
Fundamental solution for a Schrödinger equation with a time-dependent potential of long-range type is constructed. The solution is given as a Fourier integral operator with a symbol uniformly b...

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